Stanley-Reisner rings for quasi-arithmetic matroids

Abstract

In this note we define a Stanley-Reisner ring for quasi-arithmetic matroids and more general structures. To this end, we define two types of CW complexes associated with a quasi-arithmetic matroid that generalize independence complexes of matroids. Then we use Stanley's construction of Stanley-Reisner rings for simplicial posets.

14 pages, 4 figures

References in corpus (2)

• Thirty-five years and counting
• Computing the poset of layers of a toric arrangement